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Consider the polar curves C₂: r = 4 cos 0 and C3 : r = 4 sin 0. (a) Determine the slope of the tangent line at the non-pole point on C₂ which intersects C3. (b) Set up the integral that gives the area of the region inside both C₂ and C3.

Consider the polar curves C₂: r = 4 cos 0 and C3 : r = 4 sin 0. (a) Determine the slope of the tangent line at the non-pole point on C₂ which intersects C3. (b) Set up the integral that gives the area of the region inside both C₂ and C3.

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter7: Integration
Section7.5: The Area Between Two Curves
Problem 25E: Find the area between the curves in Exercises 1-28. x=0, x=4, y=cosx, y=sinx
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Consider the polar curves C2₂ r = 4 cos 0 and C3 r = 4 sin 0. : (a) Determine the slope of the tangent line at the non-pole point on C₂ which intersects C3. (b) Set up the integral that gives the area of the region inside both C₂ and C3.
Transcribed Image Text:Consider the polar curves C2₂ r = 4 cos 0 and C3 r = 4 sin 0. : (a) Determine the slope of the tangent line at the non-pole point on C₂ which intersects C3. (b) Set up the integral that gives the area of the region inside both C₂ and C3.
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